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Simplifying 51 + -5v = 4v + 6 Reorder the terms: 51 + -5v = 6 + 4v Solving 51 + -5v = 6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 51 + -5v + -4v = 6 + 4v + -4v Combine like terms: -5v + -4v = -9v 51 + -9v = 6 + 4v + -4v Combine like terms: 4v + -4v = 0 51 + -9v = 6 + 0 51 + -9v = 6 Add '-51' to each side of the equation. 51 + -51 + -9v = 6 + -51 Combine like terms: 51 + -51 = 0 0 + -9v = 6 + -51 -9v = 6 + -51 Combine like terms: 6 + -51 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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